Proving Angle Relationships

Refer to the diagram of the parking lot. Given that ∠2 ≅ ∠6, Prove that ∠4 ≅ ∠8. Which justifies step 3?

• Angle Addition Postulate

• Substitution Property of Equality

• Supplement Theorem

• Vertical Angles Theorem

Refer to the diagram of the parking lot. Given that ∠2 ≅ ∠6, Prove that ∠4 ≅ ∠8. Which justifies step 6?

• Angle Addition Postulate

• Substitution Property of Equality

• Supplement Theorem

• Vertical Angles Theorem

Which justifies step 5?

• Angle Addition Postulate

• Symmetric Property of Equality

• Substitution Property of Equality

• Definition of Congruent Angles

Find m∠13 if m∠11 = 11x and m∠13 = 10x + 12. Then determine which theorem justifies your work.

• 92°, Supplement Theorem

• 92°, Vertical Angles Theorem

• 88°, Supplement Theorem

• 88°, Vertical Angles Theorem

Match the following

• Angle Addition Postulate

• 3

• m,<1 = m<3

• 2

• m<3 + m<4 = m<DEF

• 4

• m<ABC = m<DEF

• 6

• m,<2 = m<4

• 1

• Yes, because alternate exterior angles are congruent.

• Yes, because corresponding angles are congruent.

• No, because alternate exterior angles are not supplementary

• Yes, because alternate interior angles are congruent

Find the measure of angle CBD.

What is the reason for Statement 2?

• Vertical Angles Theorem

• Corresponding Angles Theorem

• Alternate Exterior Angles Theorem

• Converse of Corresponding Angles Theorem

What is the measure of <DBC? (just type the number)

Find the value of x.

• 22

• 28

• 23

• 30